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Finding the Fourth Proportional to 11,881.10, 17,821.65 and 3,116.90

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Solution

The fourth proportional to 11,881.10, 17,821.65 and 3,116.90 is: 4,675.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,881.10 : 17,821.65 = 3,116.90 : x
  2. Step 2: Convert to fraction form
    11,881.10/17,821.65 = 3,116.90/x
  3. Step 3: Cross multiply
    11,881.10x = 17,821.65 × 3,116.90
  4. Step 4: Simplify right side
    11,881.10x = 55,548,300.89
  5. Step 5: Solve for x
    x = 55,548,300.89/11,881.10
  6. Step 6: Final answer
    x = 4,675.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.